Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
167701	Simplify	(4(1/x)+3)/(6(1/x)+2)	$\frac{4 (\frac{1}{x}) + 3}{6 (\frac{1}{x}) + 2}$
167702	Evaluate Using the Given Value	2/5g+3h-6 when g=10 and h=6	$\frac{2}{5} g + 3 h - 6$ when $g = 10$ and $h = 6$
167703	Solve for x	(5x)/2+(x-2)/8=2	$\frac{5 x}{2} + \frac{x - 2}{8} = 2$
167704	Simplify	(x^2y^-4y^-8)/(x^3)	$\frac{x^{2} y^{- 4} y^{- 8}}{x^{3}}$
167705	Solve the Inequality for x	8x-2>=-18	$8 x - 2 \geq - 18$
167706	Describe the Transformation	f(x)=-5/2(x+11)^2	$f (x) = - \frac{5}{2} {(x + 11)}^{2}$
167707	Divide	1/41/2	$\frac{1}{4} \cdot \frac{1}{2}$
167708	Solve the Inequality for x	x^2-9x+18<=0	$x^{2} - 9 x + 18 \leq 0$
167709	Find the Function	f(x)=-5x	$f (x) = - 5 x$
167710	Find the Inverse	h(x)=-(9x)/4-1/3	$h (x) = - \frac{9 x}{4} - \frac{1}{3}$
167711	Solve the System of Equations	y=x^2+3x+4 y-x=7	$y = x^{2} + 3 x + 4$ $y - x = 7$
167712	Write in Standard Form	2x^2-x+16=x	$2 x^{2} - x + 16 = x$
167713	Solve for c	\|7-2c\|=3	$\| 7 - 2 c \| = 3$
167714	Rationalize the Denominator	4/( square root of 8)	$\frac{4}{\sqrt{8}}$
167715	Simplify	1/6(3/5x+18)	$\frac{1}{6} (\frac{3}{5} x + 18)$
167716	Solve for x	4/(x-3)+2/(x^2-9)=1/(x+3)	$\frac{4}{x - 3} + \frac{2}{x^{2} - 9} = \frac{1}{x + 3}$
167717	Simplify	3^2+4^2	$3^{2} + 4^{2}$
167718	Solve for x	x^2=y	$x^{2} = y$
167719	Simplify	(x+3x^4)+(5x-3x^4)	$(x + 3 x^{4}) + (5 x - 3 x^{4})$
167720	Solve the Inequality for x	(x-3)/(x+4)>=0	$\frac{x - 3}{x + 4} \geq 0$
167721	Write in Standard Form	-6x^2-5x-5=-4x^2	$- 6 x^{2} - 5 x - 5 = - 4 x^{2}$
167722	Simplify	9-4x^3+2x^2+8x^3+1+6x^2	$9 - 4 x^{3} + 2 x^{2} + 8 x^{3} + 1 + 6 x^{2}$
167723	Evaluate Using the Given Value	0.3y+y/z when y=10 and z=5	$0.3 y + \frac{y}{z}$ when $y = 10$ and $z = 5$
167724	Solve for x	x^3+x^2=0	$x^{3} + x^{2} = 0$
167725	Convert to Radical Form	(9^-3)(9^12)	$(9^{- 3}) (9^{12})$
167726	Find the Quadratic Equation Given the Roots	-5 and 3	$- 5$ and $3$
167727	Simplify	((6x^2-18)/(12x))÷((x^2-3x+18)/(x^2-7x+6))	$\frac{6 x^{2} - 18}{12 x} \div \frac{x^{2} - 3 x + 18}{x^{2} - 7 x + 6}$
167728	Simplify the Radical Expression	cube root of x^9	$\sqrt[3]{x^{9}}$
167729	Simplify	8x-3y-9x+5y-2x+y	$8 x - 3 y - 9 x + 5 y - 2 x + y$
167730	Solve for t	1/2t-2/3=1/6+2/3t	$\frac{1}{2} t - \frac{2}{3} = \frac{1}{6} + \frac{2}{3} t$
167731	Solve the Inequality for x	(x+8)^2(x+2)(x-6)>=0	${(x + 8)}^{2} (x + 2) (x - 6) \geq 0$
167732	Solve for a	-a/0.6-1.3=2.7	$- \frac{a}{0.6} - 1.3 = 2.7$
167733	Evaluate	-7*(-7)^-4	$- 7 \cdot {(- 7)}^{- 4}$
167734	Solve for u	u-5=-4(v-1)	$u - 5 = - 4 (v - 1)$
167735	Simplify	(4/(x+5)-6/(x+3))/(-1/(x+5))	$\frac{\frac{4}{x + 5} - \frac{6}{x + 3}}{- \frac{1}{x + 5}}$
167736	Solve the System of Equations	y=x^2-2 and y=-2	$y = x^{2} - 2$ and $y = - 2$
167737	Find the x and y Intercepts	y=-(2x^2-4x-1)	$y = - (2 x^{2} - 4 x - 1)$
167738	Find the x and y Intercepts	f(x)=(-4x+12)/(x^2-3x)	$f (x) = \frac{- 4 x + 12}{x^{2} - 3 x}$
167739	Graph	f(x)=-x^2(x-3)(x+5)	$f (x) = - x^{2} (x - 3) (x + 5)$
167740	Graph	(-2)<(2x-6) intersect (3x-12)<=(10)	$(- 2) < (2 x - 6) \cap (3 x - 12) \leq (10)$
167741	Graph	a<0 , b^2-4ac=0	$a < 0$ , $b^{2} - 4 a c = 0$
167742	Solve for c	(x-c)/2=d	$\frac{x - c}{2} = d$
167743	Solve for x	4\|0.5x-2.5\|=0	$4 \| 0.5 x - 2.5 \| = 0$
167744	Find the Exact Value	1-2sin(pi/8)^2	$1 - 2 \sin^{2} (\frac{π}{8})$
167745	Solve for x	3/5(x+4/3)=1.04	$\frac{3}{5} (x + \frac{4}{3}) = 1.04$
167746	Solve for x	28-6x+4=30-3x	$28 - 6 x + 4 = 30 - 3 x$
167747	Write in Standard Form	x=0	$x = 0$
167748	Factor	9y^5z-18x^4y	$9 y^{5} z - 18 x^{4} y$
167749	Solve the System of Equations	3x+2y-z=8 -3x+4y+5z=-14 x-3y+4z=-14	$3 x + 2 y - z = 8$ $- 3 x + 4 y + 5 z = - 14$ $x - 3 y + 4 z = - 14$
167750	Find the Inverse	y=x/3	$y = \frac{x}{3}$
167751	Simplify	(x^2-4x-12)/(x^3-10x^2+24x)	$\frac{x^{2} - 4 x - 12}{x^{3} - 10 x^{2} + 24 x}$
167752	Solve the Inequality for x	-2x<=6	$- 2 x \leq 6$
167753	Find the Excluded Values	(x^2+12x+36)/(x^2-36)	$\frac{x^{2} + 12 x + 36}{x^{2} - 36}$
167754	Solve for w	-17w+w+13w+16w-20=19	$- 17 w + w + 13 w + 16 w - 20 = 19$
167755	Solve the Inequality for x	(x-5)(x-2)^2(x-7)>=0	$(x - 5) {(x - 2)}^{2} (x - 7) \geq 0$
167756	Simplify	((4n)^2)/(-4n^-5)	$\frac{{(4 n)}^{2}}{- 4 n^{- 5}}$
167757	Simplify	x/2+x/3	$\frac{x}{2} + \frac{x}{3}$
167758	Simplify	x square root of x^6	$x \sqrt{x^{6}}$
167759	Solve for B	A=((B+b)h)/2	$A = \frac{(B + b) h}{2}$
167760	Solve the Inequality for x	10<3x+19	$10 < 3 x + 19$
167761	Solve for s	1/3s+1/2=9/4+1/4s	$\frac{1}{3} s + \frac{1}{2} = \frac{9}{4} + \frac{1}{4} s$
167762	Simplify	(a-b+c)^2	${(a - b + c)}^{2}$
167763	Solve for x	(x-5)^2+5=49	${(x - 5)}^{2} + 5 = 49$
167764	Solve for x	1/4x+x=-3+1/2x	$\frac{1}{4} x + x = - 3 + \frac{1}{2} x$
167765	Simplify	square root of 3 square root of 3	$\sqrt{3} \sqrt{3}$
167766	Simplify	((3^9)/(3^-5))	$(\frac{3^{9}}{3^{- 5}})$
167767	Solve for y	x/w=z/(y^2)	$\frac{x}{w} = \frac{z}{y^{2}}$
167768	Write in Standard Form	2x^2+14=-7x	$2 x^{2} + 14 = - 7 x$
167769	Simplify	8 cube root of a^4b^3c^2-14ab cube root of ac^2	$8 \sqrt[3]{a^{4} b^{3} c^{2}} - 14 a b \sqrt[3]{a c^{2}}$
167770	Solve for q	-5(3-q)+4=5q-11	$- 5 (3 - q) + 4 = 5 q - 11$
167771	Convert to Radical Form	(9^-3)/(9^12)	$\frac{9^{- 3}}{9^{12}}$
167772	Solve for x	(5^(6x+5))/(125^(3x-1))=5^(-5x+2)	$\frac{5^{6 x + 5}}{125^{3 x - 1}} = 5^{- 5 x + 2}$
167773	Find the LCD	8/(x^2-9x-22) and -2/(x^2+2x)	$\frac{8}{x^{2} - 9 x - 22}$ and $\frac{- 2}{x^{2} + 2 x}$
167774	Solve for x	(3x+5)/4-(2x-1)/3=2	$\frac{3 x + 5}{4} - \frac{2 x - 1}{3} = 2$
167775	Simplify	-2+5(a-2b+1)-3(8-2a+b)	$- 2 + 5 (a - 2 b + 1) - 3 (8 - 2 a + b)$
167776	Graph Using a Table of Values	y=4-x^2	$y = 4 - x^{2}$
167777	Graph Using a Table of Values	f(x)=(1/3)^(-x)	$f (x) = {(\frac{1}{3})}^{- x}$
167778	Simplify the Radical Expression	fourth root of x^7	$\sqrt[4]{x^{7}}$
167779	Solve for q	8.9-1.4q=q-11.5	$8.9 - 1.4 q = q - 11.5$
167780	Divide Using Long Polynomial Division	(x^4-2x^3-11x^2+30x-20) entre (x^2+3x-2)	$(x^{4} - 2 x^{3} - 11 x^{2} + 30 x - 20)$ entre $(x^{2} + 3 x - 2)$
167781	Simplify	15/( square root of 75)	$\frac{15}{\sqrt{75}}$
167782	Find the Holes in the Graph	f(x)=(x^2-100)/(x-10)	$f (x) = \frac{x^{2} - 100}{x - 10}$
167783	Evaluate	e^1-1	$e^{1} - 1$
167784	Solve for z	square root of z-7 = square root of z-105	$\sqrt{z} - 7 = \sqrt{z - 105}$
167785	Solve for x	6/x+(x-3)/4=2	$\frac{6}{x} + \frac{x - 3}{4} = 2$
167786	Solve for s	p=(3(s+100))/4	$p = \frac{3 (s + 100)}{4}$
167787	Simplify	( cube root of 8)^2	${(\sqrt[3]{8})}^{2}$
167788	Simplify the Radical Expression	cube root of 40	$\sqrt[3]{40}$
167789	Graph	x^2-10x<-24	$x^{2} - 10 x < - 24$
167790	Solve the Inequality for x	-8-2x<=-10	$- 8 - 2 x \leq - 10$
167791	Solve for x	(x+1)/(x-1)=-10/(x+3)+8/(x^2+2x-3)	$\frac{x + 1}{x - 1} = \frac{- 10}{x + 3} + \frac{8}{x^{2} + 2 x - 3}$
167792	Factor	8x^6yz^6+6x^3z^2	$8 x^{6} y z^{6} + 6 x^{3} z^{2}$
167793	Graph	-3<=x	$- 3 \leq x$
167794	Solve the System of Equations	y=3x 2x+3y=55	$y = 3 x$ $2 x + 3 y = 55$
167795	Solve Using the Quadratic Formula	(2x-1)/(x+1)=(x+1)/(x-1)	$\frac{2 x - 1}{x + 1} = \frac{x + 1}{x - 1}$
167796	Solve for H	A=LWH	$A = L W H$
167797	Simplify	5xy-x^2t+2xy+3x^2t	$5 x y - x^{2} t + 2 x y + 3 x^{2} t$
167798	Simplify	(1+x)(x^2-5x-6)	$(1 + x) (x^{2} - 5 x - 6)$
167799	Solve for x	4(x+1)<=4x+3	$4 (x + 1) \leq 4 x + 3$
167800	Solve for x	7/(x+3)=x/4	$\frac{7}{x + 3} = \frac{x}{4}$